Тёмный

Math Olympiad | A Nice Exponential Problem | Solve for a & b 

VIJAY Maths
Подписаться 9 тыс.
Просмотров 6 тыс.
50% 1

#exponentialproblems #matholympiad #maths
,#exponentialproblemsolving,#exponentialproblemsandsolutions,#exponentialproblemsexamples,#exponentialproblemsolvingquestions,#learnhowtosolveexponentialproblem,#aniceolympiadexponentialproblem,#exponentialfunctionproblemsolving,#exponentialgrowthanddecaywordproblems,#exponentialproblemexample,#problemsolvinginvolvingexponentialfunctions,#exponentialfunctionproblemsolvingexamples,#solvingexponentialfunctionwordproblem,#exponentialequationproblemsolving,#exponentialdecayproblemsolving,#exponentialgrowthproblem,#exponentialapplicationproblems,#exponentialdistributionproblemsandsolutions,#problemsolvingexponentialgrowthanddecay,#7.3exponentialandlogarithmicproblemsolving,#exponentialwordproblemscompoundinterest,#exponentialdecayproblem,#exponentialdecaywordproblem,#exponentialequationproblems,#exponential growth problem examples,#exponential growth example problem,#example of exponential function word problem,#word problem exponential function,#real life problem involving exponential function,#word problem involving exponential function with solution,#word problem involving exponential function,#solving real life problem involving exponential function,#exponential growth problems with solutions,#exponential growth algebra 2,#exponential word problems growth and decay,#exponential growth word problem,#howtosolveexponentialproblem,#how to solve exponential function word problem,#exponentialfunctioninproblemsolving,#problem involving exponential function,#an exponential equation,#howtosolveanexponentialfunction,#mathexponentialequation,#whatisexponentialequation,#exponentialequations # olympiad problems,#example of exponential function problem solving,#exponential means,#exponents problem solving,#exponential function word problem solving,#value of exponential e,#exponential word problem,#find x exponential equation,e exponent,#zero as an exponent,#exponential.u,#exponential times,#exponential solution,#write an exponential function,#exponential equation with e,#exponential derivatives,#exponential equalities,#exponential equation and inequality,#exponential powers,#exponents solve for x#exponentialproblems #matholympiad #maths
,#exponentialproblemsolving,#exponentialproblemsandsolutions,#exponentialproblemsexamples,#exponentialproblemsolvingquestions,#learnhowtosolveexponentialproblem,#aniceolympiadexponentialproblem,#exponentialfunctionproblemsolving,#exponentialgrowthanddecaywordproblems,#exponentialproblemexample,#problemsolvinginvolvingexponentialfunctions,#exponentialfunctionproblemsolvingexamples,#solvingexponentialfunctionwordproblem,#exponentialequationproblemsolving,#exponentialdecayproblemsolving,#exponentialgrowthproblem,#exponentialapplicationproblems,#exponentialdistributionproblemsandsolutions,#problemsolvingexponentialgrowthanddecay,#7.3exponentialandlogarithmicproblemsolving,#exponentialwordproblemscompoundinterest,#exponentialdecayproblem,#exponentialdecaywordproblem,#exponentialequationproblems,#exponential growth problem examples,#exponential growth example problem,#example of exponential function word problem,#word problem exponential function,#real life problem involving exponential function,#word problem involving exponential function with solution,#word problem involving exponential function,#solving real life problem involving exponential function,#exponential growth problems with solutions,#exponential growth algebra 2,#exponential word problems growth and decay,#exponential growth word problem,#howtosolveexponentialproblem,#how to solve exponential function word problem,#exponentialfunctioninproblemsolving,#problem involving exponential function,#an exponential equation,#howtosolveanexponentialfunction,#mathexponentialequation,#whatisexponentialequation,#exponentialequations # olympiad problems,#example of exponential function problem solving,#exponential means,#exponents problem solving,#exponential function word problem solving,#value of exponential e,#exponential word problem,#find x exponential equation,e exponent,#zero as an exponent,#exponential.u,#exponential times,#exponential solution,#write an exponential function,#exponential equation with e,#exponential derivatives,#exponential equalities,#exponential equation and inequality,#exponential powers,#exponents solve for x

Опубликовано:

 

11 янв 2024

Поделиться:

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист
Посмотреть позже
Комментарии : 8   
@superiorlyrics8326
@superiorlyrics8326 5 месяцев назад
Well done 👍
@murvetaykac7041
@murvetaykac7041 4 месяца назад
İt is abeatiful and easy question.You are telling very good.Thank you very much.
@vijaymaths5483
@vijaymaths5483 4 месяца назад
Most welcome :)
@michaelhuppertz6738
@michaelhuppertz6738 Месяц назад
After you have set up the factorization of 272, you can shorten the search by the fact that 6^2+2^b has to be 2x2^b greater than 6^2-2^b.
@PeterMcDaid
@PeterMcDaid 5 месяцев назад
Noting that 36=4 x 9 we have 4*a.9*a - 4*b = 272 Diividing by 16 we have 4*(a-2).9*a - 4*(b-2)=17 17 is an odd number, so for the sum on the left hand side, one number is even and the other is odd All powers of 9 are odd so either 4*(a-2) is odd and 4*(b-2) is even or vice versa. Powers of even numbers ore only odd when the index is zero. It follows that either a-2=0 or b-2=0 Putting a-2=0 we have a=2 so 36*2 - 4*b = 272, ie 1296 -4*b =272. Rearranging and simplifying : 4*b=1024, , b=5 Putting b-2 = 0 we have 36*a -16= 272 Rearranging and simplifying : 36*a = 288 has no integral solution.
@arunsanghvi6139
@arunsanghvi6139 5 месяцев назад
Simple solution 1. Notice that a has to be smaller then b. 2. 6^x always ends with 6 3.the last digit of 4^b follows pattern I.e. 4, 6,4, 6, 4, 6 4. By observation , a=2, b= 5
@CaromTom
@CaromTom 5 месяцев назад
Pragmatic approach, try a=2 and then see that 1024 is 4^5 which make the difference to come to 272… No need to over think about it, 1 minute problem.
@ilm_izla166
@ilm_izla166 5 месяцев назад
zo'r
Далее
Poland Math Olympiad | A Very Nice Geometry Problem
13:08
Russian Maths Olympiad Question #maths #mamtamaam
12:05
Mexico - A Nice Math Olympiad Exponential Problem
8:36